O Amy is building a wheelchair ramp for her neighbor's front door, so he can more easily access his home. A wheelchair ramp should not have an angle of elevation more than 5 degrees, otherwise it's too hard to push a wheelchair up the ramp. The front door is 2 ft above the ground and it is 26 feet from the driveway, if measured along the ground. What would the angle of elevation be if Amy built the ramp from the front door directly down to the driveway? Would it stay under 5 degrees?

O Amy is building a wheelchair ramp for her neighbor's front door, so he can more easily access his home. A wheelchair ramp should not have an angle of elevation more than 5 degrees, otherwise it's too hard to push a wheelchair up the ramp. The front door is 2 ft above the ground and it is 26 feet from the driveway, if measured along the ground. What would the angle of elevation be if Amy built the ramp from the front door directly down to the driveway? Would it stay under 5 degrees?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

O Amy is building a wheelchair ramp for her neighbor's front door, so he can more
easily access his home. A wheelchair ramp should not have an angle of elevation
more than 5 degrees, otherwise it's too hard to push a wheelchair up the ramp. The
front door is 2 ft above the ground and it is 26 feet from the driveway, if measured
along the ground. What would the angle of elevation be if Amy built the ramp from
the front door directly down to the driveway? Would it stay under 5 degrees?

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